Existence of strong solutions for stochastic porous media equation under general monotonicity conditions

Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
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一般单调性条件下随机多孔介质方程强解的存在性

DOI:
10.1214/08-aop408
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发表时间:
2007
影响因子:
2.3
通讯作者:
M. Rockner
M. Rockner
中科院分区:
数学1区
文献类型:
--
作者:
V. Barbu;G. Prato;M. Rockner

文献摘要

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研究了随机多孔介质方程dX(X)dt = B(X)dW(t)在Rd的有界区域上Dirichlet边界条件下强解的存在唯一性.这里是R R中的极大单调图(可能是多值的),
This paper addresses existence and uniqueness of strong solutions to stochastic porous media equations dX ( X)dt = B(X)dW (t) in bounded domains of R d with Dirichlet boundary conditions. Here is a maximal monotone graph in R R (possibly multivalued) with